GCD of 813, 731, 493, 343 Calculator

Given Input numbers are 813, 731, 493, 343

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 813, 731, 493, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 731, 493, 343 is 1.

Therefore, GCD of numbers 813, 731, 493, 343 is 1

Given Input Data is 813, 731, 493, 343

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 813 is 3 x 271

Prime Factorization of 731 is 17 x 43

Prime Factorization of 493 is 17 x 29

Prime Factorization of 343 is 7 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(813, 731) = 594303

GCD(813, 731) = ( 813 x 731 ) / 594303

GCD(813, 731) = 594303 / 594303

GCD(813, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 813, 731, 493, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 276, 973, 759
• GCD of 978, 415, 324, 716
• GCD of 669, 737, 982, 654
• GCD of 145, 347, 428, 186
• GCD of 340, 659, 286, 461

1. What is the GCD of 813, 731, 493, 343?

GCD of 813, 731, 493, 343 is 1

2. Where do I get the detailed procedure to find GCD of 813, 731, 493, 343?

You can find a detailed procedure to find GCD of 813, 731, 493, 343 on our page.

3. How to find GCD of 813, 731, 493, 343 on a calculator?

You can find the GCD of 813, 731, 493, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.